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10740864 = 27383337
BaseRepresentation
bin101000111110…
…010010000000
3202012200200210
4220332102000
510222201424
61022114120
7160203321
oct50762200
922180623
1010740864
116076852
12371b940
1322c0b54
1415d8448
15e22729
hexa3e480

10740864 has 64 divisors (see below), whose sum is σ = 28959840. Its totient is φ = 3526656.

The previous prime is 10740859. The next prime is 10740869. The reversal of 10740864 is 46804701.

It is an interprime number because it is at equal distance from previous prime (10740859) and next prime (10740869).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10740869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31704 + ... + 32040.

Almost surely, 210740864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479920).

10740864 is an abundant number, since it is smaller than the sum of its proper divisors (18218976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10740864 is an equidigital number, since it uses as much as digits as its factorization.

10740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10740864 is about 3277.3257390745. The cubic root of 10740864 is about 220.6377089304.

The spelling of 10740864 in words is "ten million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 337 384 498 664 674 996 1011 1328 1348 1992 2022 2656 2696 3984 4044 5312 5392 7968 8088 10624 10784 15936 16176 21568 27971 31872 32352 43136 55942 64704 83913 111884 129408 167826 223768 335652 447536 671304 895072 1342608 1790144 2685216 3580288 5370432 10740864